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A small block slides down on a smooth inclined plane, starting from rest at time t = 0. Let Sn be the distance travelled by the block in the interval t = n − 1 to t = n. Then, the ratio SnSnSnSn+1 is -

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Question

A small block slides down on a smooth inclined plane, starting from rest at time t = 0. Let Sn be the distance travelled by the block in the interval t = n − 1 to t = n. Then, the ratio `("S"_"n")/("S"_("n" + 1))` is ______.

Options

  • `(2"n")/(2"n" - 1)`

  • `(2"n" - 1)/(2"n")`

  • `(2"n" - 1)/(2"n" + 1)`

  • `(2"n" + 1)/(2"n" - 1)`

MCQ
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Solution

A small block slides down on a smooth inclined plane, starting from rest at time t = 0. Let Sn be the distance travelled by the block in the interval t = n−1 to t = n. Then, the ratio `("S"_"n")/("S"_("n" + 1))` is `underline((2"n" - 1)/(2"n" + 1))`.

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